Answer:
32
Step-by-step explanation:
64×1÷2
64is divided by 2 =32
and 32×1=32
Seven increased by the product of six and the number is 19
The number is that was multiplied by 6 is 2.
What is the number?The equation that can be derived from the question is :
7 + (6a) = 19
Where a is the unknown number that 6 was multiplied with
Given the above equation, in order to determine the value of a, take the following steps:
Combine similar terms: 6a = 19 - 7
Subtract similar terms: 6a = 12
Divide both sides by 6: a = 12 / 6
a = 2
Here is the complete question:
Seven increased by the product of six and the number is 19. What is the number?
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Solve the equation sin 79.5° = cos 2x
Answer:
x=5.24-9+180n,174.75+180n
Step-by-step explanation:
The surface area of a right cone which has a base diameter of 6 units and a height of 8 units is:
75 units squared.
108 units squared.
151 units squared.
188 units squared.
The area of a 2D form is the amount of space within its perimeter. The surface area of the cone is 108.79967 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given the diameter of the cone is 6 units, therefore, the radius of the cone is 3 units, and the height of the cone is 8 units. Thus, the surface area of the right cone is,
A=πr [r+√(h²+r²)]
A = 108.79967 units²
Hence, the surface area of the cone is 108.79967 units².
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The area of Louisiana is approximately 4 x
104 square miles. The area of the United
States is approximately 225 times greater
than the area of Louisiana. What is the
approximate area of the United States?
Answer:
93,600
Step-by-step explanation:
4x104= 416
416x225 = 93,600
Lines AB and CD are parallel. The coordinates of point A are (-2,5), the coordinates of point B are (6,3), and the coordinates of point D are (8,5).
The equation of line CD is y =
Equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].
What are parallel lines?" Parallel lines are defined as the lines in the same plane never intersect with each other. They are equidistant to each other in the same plane."
Formula used
[tex]Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
According to the question,
Given,
Coordinates of A [tex](x_{1},y_{1})[/tex] = ( -2 , 5)
Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 6 , 3)
Substitute the value to get the slope of line AB we get,
[tex]Slope of line AB 'm_{1}' =\frac{3-5}{6-(-2)}[/tex]
⇒ [tex]m_{1} = \frac{-2}{8}[/tex]
[tex]= \frac{-1}{4}[/tex]
Coordinates of C [tex](x_{1},y_{1})[/tex] = ( x ,y)
Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 8,5)
Substitute the value to get the slope of line CD we get,
[tex]Slope of line CD 'm_{2}' =\frac{5-y}{8-x}[/tex]
Lines AB and CD are parallel.
Slope of parallel lines are equal.
Therefore,
[tex]m_{2} = m_{1}[/tex]
⇒ [tex]\frac{5-y}{8-x}[/tex] [tex]= \frac{-1}{4}[/tex]
⇒[tex]5-y = \frac{-1}{4} (8-x)[/tex]
⇒ [tex]y = \frac{-x}{4} +7[/tex]
Hence, equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].
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Nala wants to find out if the quadrilateral shown is a rectangle. Nala's plan: • Find the slopes of all four sides. • See if there are two pairs of equal slopes. • See if there are two pairs of slopes that are negative reciprocals. Will her plan work? Why or why not?
Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other. Therefore her plan will work.
Proof for a quadrilateral
A quadrilateral are shapes with 4 sides. A rectangle is a quadrilateral with 2 parallel sides.
According to Nala's plan to find out if the quadrilateral shown is a rectangle, she can do the following;
See if there are two pairs of equal slopesSee if there are two pairs of slopes that are negative reciprocalChecking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other.
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find the perimeter of a triangular field whose length of edges are 14 m, 12m 10 m Also find the length of required to fence 4 times around it?
Answer: 36 m, 144 m
Step-by-Step Explanation:
a = 14 m
b = 12 m
c = 10 m
Perimeter = a + b + c
Therefore,
= a + b + c
= 14 + 12 + 10
= 26 + 10
=> 36
Perimeter = 36 m
Length of Fence required for Fencing 4 times = Perimeter * 4
Therefore,
= Perimeter * 4
= 36 * 4
= 144
Length of Fence required for Fencing 4 times = 144 m
( brain + 95 points ) A triangular prism has a height of 10 cm and the triangle has a base of 4 cm and a height of 6 cm. Find the volume of the triangular prism.
Area of base
1/2BH1/2(4)(6)2(6)12cm²Volume
Area of base× height12(10)120cm³pls help, thank you!!
Answer: 1, 3
For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.
Write the equation of the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and shifted 60° to the left. if it has an amplitude of 5 units.
The equation of the transformed function is y = 5cos(x/4 + 60) - 3
How to determine the equation?The equation of the graph is given as:
y = cos(x)
The rule of downward shift is:
(x, y) ⇒ (x, y - h)
So, the function when shifted downwards by 3 units is
y = cos(x) - 3
The rule of horizontal shrink is:
(x, y) ⇒ (x/k, y)
So, the function when shrink horizontally by a fourth unit is:
y = cos(x/4) - 3
The rule of left shift is:
(x, y) ⇒ (x +h, y)
So, the function when shifted left by 60 units is
y = cos(x/4 + 60) - 3
The amplitude is given as:
A= 5
So, we have:
y = 5cos(x/4 + 60) - 3
Hence, the equation of the transformed function is y = 5cos(x/4 + 60) - 3
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what is the slope of the line shown below?
Answer:
C. 2
Step-by-step explanation:
Gradient = [tex]\frac{change in y}{change in x}[/tex]
Gradient = [tex]\frac{6}{3}[/tex]
Gradient = 2
A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets would you administer per dose?
The number tablets per dose of drug A to be administered on the patient is 4 tablets
Quantity conversion1 gram = 1000 milligram
Drug A provided = 1 gramDose = 250 milligramNumber of tablets to administer = Drug A provided / Dose
= 1 gram / 250 milligram
= 1000 milligram / 250 milligram
Number of tablets to administer = 4 tablets
Therefore, the number tablets per dose of drug A to be administered on the patient is 4 tablets
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A roller coaster’s height is given by the equation h = –.086t^2 + 6t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? hint: Set h = 0.
34.88 seconds
50.00 seconds
50.17 seconds
77.29 seconds
The time it will take the ride to reach the floor is 77.29 seconds
Quadratic equationsThese are equations that has a leading degree of 2.
Given the function that represents the height of the roller coaster
h(t) = –0.086t^2 + 6t + 50,
At the ground level, h = 0
Substitute
h(t) = –0.086t^2 + 6t + 50,
–0.086t^2 + 6t + 50 = 0
0.086t^2 - 6t - 50 = 0
Factorize
On factorizing, the time it will take the ride to reach the floor is 77.29 seconds
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Answer:
D) t = 77.29 seconds
Step-by-step explanation:
The height of the rollercoaster at ground level is zero.
Therefore, to find how long it will take riders to pass over the hill and reach ground level, set h = 0 and solve for t.
Set the equation equal to zero:
[tex]-0.086t^2 + 6t + 50=0[/tex]
Solve the equation using the quadratic formula.
What is the quadratic formula?The quadratic formula is a formula that can be used to find the solutions of any quadratic equation, which is an equation of the form ax²+bx+c=0, where a, b, and c are constants and x is the variable.
[tex]\boxed{x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}}[/tex]
In this case:
a = -0.086b = 6c = 50Substitute these values into the quadratic formula and solve for t:
[tex]t=\dfrac{-6 \pm \sqrt{6^2-4(-0.086)(50)}}{2(-0.086)}[/tex]
[tex]t=\dfrac{-6 \pm \sqrt{36+17.2}}{-0.172}[/tex]
[tex]t=\dfrac{6 \pm \sqrt{53.2}}{0.172}[/tex]
[tex]t=-7.52228495..., \;\; 77.2897268...[/tex]
As time is positive only, t = 77.29 seconds (2 decimal places).
Solve this for me please
Answer:
a=11,b=7 Is the correct answer
Please mark me as brainliest
Answer:
a = 11 and b = 7
Step-by-step explanation:
Multiply numerical values 5 x (-4) then add exponents of like terms x⁷(x⁴) = x¹¹ then y²(y⁵) = y⁷
Find the exact value of each expression.
sin0 , if cos 0 =3/5 and 270° ≤0 ≤360°
[tex]\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\[/tex]
[tex]\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45[/tex]
9,10,12,x,20,25 find x the median is 14
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
12+16=28
28/2=14
please give brainliest!
hope this helps :)
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
Answer:
16 new releases and 22 classic movies.
please help asap 100 points
Answers:
Problem #1: Option C, 166 yards cubed
Problem #2: Option A, 10
Step-by-step solution:
The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.
Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.
Divide the diameter by two to get the radius
[tex]Radius = \frac{Diameter}{2}[/tex][tex]Radius = \frac{5.2\ yd}{2}[/tex][tex]Radius = 2.6\ yd[/tex]Plug in the values
[tex]V_{cylinder} = (\pi * radius^2)*height[/tex][tex]V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd[/tex]Simplify the exponent
[tex]V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd[/tex][tex]V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd[/tex]Simplify the expression
[tex]V_{cylinder} = (21.237\ yd^2)*7.8\ yd[/tex][tex]V_{cylinder} = 165.65\ yd^3[/tex]Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.
Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.
Make an expression to represent the scenario
[tex]32(x + 32) = 28(20 + 28)[/tex]We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.
Distribute both sides
[tex]32(x + 32) = 28(20 + 28)[/tex][tex](32 * x) + (32 * 32) = (28 * 20) + (28 * 28)[/tex][tex]32x + 1024 = 560 + 784[/tex]Simplify the expression
[tex]32x + 1024 = 1344[/tex]We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.
Subtract 1024 from both sides
[tex]32x + 1024 - 1024 = 1344 - 1024[/tex][tex]32x = 1344 - 1024[/tex][tex]32x = 320[/tex]The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.
Divide both sides by 32
[tex]\frac{32x}{32} = \frac{320}{32}[/tex][tex]x = \frac{320}{32}[/tex][tex]x = 10[/tex]After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.
Use the strategy to simplify 4√576
Write the prime factorization of the radicand.
[tex]\begin{array}{r|l}576&2\\288&2\\144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}[/tex]
[tex]576=2^6\cdot3^2[/tex]
Therefore
[tex]4\sqrt{576}=4\sqrt{2^6\cdot3^2}[/tex]
What is the solution to the following system of equations? (2 points) y = x2 + 10x + 11 y = x2 + x − 7
Answer:
y=x^(2)+10x+11,y=x^(2)+x-7
Step-by-step explanation:
I think so bro
Step-by-step explanation:
I assume you mean
y = x² + 10x + 11
y = x² + x - 7
well, I subtract equation 2 from equation 1 :
0 = 9x + 18
9x = -18
x = -2
y = x² + x - 7 = (-2)² - 2 - 7 = 4 - 2 - 7 = -5
the solution (the intersection point of both graphs) is the point (-2, -5).
a group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete the statement.
Answer:
5:1
Step-by-step explanation:
Originally the ratio is 20:4
but then it is simplified to 10:2
then 5:1
If events A and B are independent, what must be true?
P(A|B) = P(B)
P(A|B) = P(A)
P(A) = P(B)
P(A|B) = P(B|A)
Answer: P(A|B) = P(A)
Step-by-step explanation:
If they are independent, one event being given doesn't impact the probability of the other event.
Answer:b
Step-by-step explanation:
b
In a study of patients arriving at a hospital emergency room, the gender of the patients is considered, together with whether the patients are younger or older than 30 years of age, and whether or not the patients are admitted to the hospital. It is found that 45% of the patients are male, 30% of the patients are younger than 30 years of age, 15% of the patients are females older than 30 years of age who are admitted to the hospital, and 21% of the patients are females younger than 30 years of age. What proportion of the patients are females older than 30 years of age who are not admitted to the hospital?
The probability of patients are females older than 30 years of age who are not admitted to the hospital is 0.19
How to calculate the probability?The probability of patients who are females and are admitted will be 0.15. The probability of those younger than 30 years will be 0.21.
The proportion of the patients are females older than 30 years of age who are not admitted to the hospital will be:
= [(1 - 0.45) - 0.21] - 0.15
= 0.19
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Hola alguien me podría ayudar con este problema :< porfa
Answer:
8= 24b
8/8=24b/8
b=3
Step-by-step explanation:
Based on my own learning
Which of the following numbers is shown plotted on the number line ?
There are 10000 people living in a certain city. Suppose that the rate of population growth in the city is proportional to the number of inhabitants. Suppose that 10% of the original amount increase in 30 years, how much will the population in the city after 60 years?
Answer:
.............30000.............
Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) Work out the actual horizontal distance between A and B.
Answer:
120 meters
Step-by-step explanation:
1.2 x 10 000 = 12000 cm = 120 meters
Sin 0 = -8/17 and cos 0 = 15/17 find tan0
Answer:
Step-by-step explanation:
Givens
sin(theta) = - 8/17
cos(theta)= 15/17
Tan(theta) = ?
Comment
Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)
Tan(theta) = sin(theta) / cos(theta)
Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]
Now turn the bottom fraction upside down and multiply.
Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]
Answer Tan(theta) = -8/15
how many terms are in 10y2-3y+8
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find how many terms are in [tex]\pmb{10y^2-3y+8}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
A term is a thing that's added or subtracted.So let's compute the number of terms in this expression.
The first term is [tex]\pmb{10y^2}[/tex].
Is anything added or subtracted from 10y²?
Sure! [tex]\pmb{-3y}[/tex] is subtracted from 10y².
Also, 8 is added to -3y.
Thus, this expression has 3 terms.
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
A convenience store was charging $3.83 for a
bag of chips but raised the price 13%. The new price after the increase is $4.33.
Enter an expression to show how the new price
was calculated.
Answer:
See below
Step-by-step explanation:
4.33 = 3.83 * (1.13) .13 is decimal for 13%